Search a number
-
+
5756730 = 235779347
BaseRepresentation
bin10101111101011100111010
3101211110202020
4111331130322
52433203410
6323215310
766634320
oct25753472
911743666
105756730
113282131
121b17536
131267365
14a9bd10
1578aa70
hex57d73a

5756730 has 64 divisors (see below), whose sum is σ = 16035840. Its totient is φ = 1295424.

The previous prime is 5756717. The next prime is 5756741. The reversal of 5756730 is 376575.

It is a happy number.

It is a super-3 number, since 3×57567303 (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5756691 and 5756700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16417 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (250560).

Almost surely, 25756730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017920).

5756730 is an abundant number, since it is smaller than the sum of its proper divisors (10279110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5756730 is a wasteful number, since it uses less digits than its factorization.

5756730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 5756730 is about 2399.3186532847. The cubic root of 5756730 is about 179.2222616968. Note that the first 4 decimals are identical.

The spelling of 5756730 in words is "five million, seven hundred fifty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 347 395 474 553 694 790 1041 1106 1185 1659 1735 2082 2370 2429 2765 3318 3470 4858 5205 5530 7287 8295 10410 12145 14574 16590 24290 27413 36435 54826 72870 82239 137065 164478 191891 274130 383782 411195 575673 822390 959455 1151346 1918910 2878365 5756730